Use the image to answer the question.
An illustration shows a coordinate plane with the x-axis ranging from negative 9 to 9 in one unit increments, and the y-axis ranging from negative 11 to 11 in one unit increments. A solid line passes through two plotted points and extends beyond. A solid line with arrows at both ends passes through points with coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 6 comma 6 right parenthesis.
Explain why the slope is positive or negative.
(1 point)
Responses
The slope is negative because the line decreases as you move from left to right on the graph.
The slope is negative because the line decreases as you move from left to right on the graph.
The slope is positive because the line decreases as you move from left to right on the graph.
The slope is positive because the line decreases as you move from left to right on the graph.
The slope is negative because the line increases as you move from left to right on the graph.
The slope is negative because the line increases as you move from left to right on the graph.
The slope is positive because the line increases as you move from left to right on the graph.
The slope is positive because the line increases as you move from left to right on the graph.
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1 answer
The correct response is:
The slope is positive because the line increases as you move from left to right on the graph.
In the scenario described, the line passes through the points (0, 0) and (6, 6). As you move from the left (0) to the right (6) on the x-axis, the corresponding y-values also increase (from 0 to 6). This indicates that the slope of the line is positive, as positive slopes represent an increase in y-values as x-values increase.
